Question

6. Theoretical probability is based on the assumption that all outcomes in the sample space occur randomly.

A. true
B. false

Answer 1

i wish i could help, this question makes no sense to me
they probably want you to say TRUE though

Answer 2

well i guess you can say that if the outcomes are not random, i.e. they are predetermined in some way, then there is no probability involved
if you have a stop light that is red at 10 past every hour, then there is no computing "what is the probability it is red at 10 past the hour"

Answer 3

you can say what you wrote above, and your teacher might even accept it, but it is not really true that every element in a sample space needs to be equally likely
if it if you use the uniform distribution

Answer 4

i meant "it is if you use the uniform distribution"

Answer 5

if you compute the probability of getting a total of 7 when you roll two dice, then yes, all the elements in the sample space should be equally likely. but this is not true in general

Answer 6

flip a coin until you get head or until you flip 3 times. the sample space looks like
H
TH
TTH
TTT

and those events are not equally likely